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Finding the Fourth Proportional to 1,254.06, 1,879.74 and 524.16

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Solution

The fourth proportional to 1,254.06, 1,879.74 and 524.16 is: 785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.06 : 1,879.74 = 524.16 : x
  2. Step 2: Convert to fraction form
    1,254.06/1,879.74 = 524.16/x
  3. Step 3: Cross multiply
    1,254.06x = 1,879.74 × 524.16
  4. Step 4: Simplify right side
    1,254.06x = 985,284.52
  5. Step 5: Solve for x
    x = 985,284.52/1,254.06
  6. Step 6: Final answer
    x = 785.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.